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Total Domination in Graphs
Paperback
Series: Springer Monographs in Mathematics
ISBN13: 9781489991560
Publisher: Springer Nature
Published: May 20 2015
Pages: 178
Weight: 0.61
Height: 0.41 Width: 6.14 Depth: 9.21
Language: English
1. Introduction.- 2. Properties of Total Dominating Sets and General Bounds.- 3. Complexity and Algorithmic Results.- 4.Total Domination in Trees.- 5.Total Domination and Minimum Degree.- 6. Total Domination in Planar Graphs.- 7. Total Domination and Forbidden Cycles.- 8. Relating the Size and Total Domination Number.- 9. Total Domination in Claw-Free Graphs.- 10. Total Domination Number versus Matching Number.- 11. Total Domination Critical Graphs.- 12. Total Domination and Graph Products.- 13. Graphs with Disjoint Total Dominating Sets.- 14. Total Domination in Graphs with Diameter Two.- 15. Nordhaus-Gaddum Bounds for Total Domination.- 16. Upper Total Domination.- 17.Variations of Total Domination.- 18. Conjectures and Open Problems.- Index.
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